document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190469>Question 1190469</A>: <I><SPAN STYLE=\"word-break: break-all;\"> QUESTION 5<BR>\n" );
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document.write( "Create a truth table for the following.\r<BR>\n" );
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document.write( "left parenthesis p logical and tilde q right parenthesis logical or left parenthesis p rightwards arrow q right parenthesis<BR>\n" );
document.write( " (p ∧ ~ q) 𝑉 (p --> q) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #822117 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=822117\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "T = true<BR>\n" );
document.write( "F = false<TABLE  border = \"1\" cellpadding = \"5\">\n" );
document.write( "<tr><TD >p</TD><TD >q</TD><TD >~q</TD><TD >p ^ ~q</TD><TD >p -> q</TD><TD >(p ^ ~q) v (p -> q)</TD></tr><tr><TD >T</TD><TD >T</TD><TD >F</TD><TD >F</TD><TD >T</TD><TD >T</TD></tr><tr><TD >T</TD><TD >F</TD><TD >T</TD><TD >T</TD><TD >F</TD><TD >T</TD></tr><tr><TD >F</TD><TD >T</TD><TD >F</TD><TD >F</TD><TD >T</TD><TD >T</TD></tr><tr><TD >F</TD><TD >F</TD><TD >T</TD><TD >F</TD><TD >F</TD><TD >F</TD></tr>\n" );
document.write( "</TABLE>Notes:<ul><li>p ^ q is true when both p and q are true together; otherwise, it's false.</li><li>p -> q is false when a true antecedent (p) leads to a false conclusion (q); otherwise, it's true</li><li>~q is the result of flipping everything in column q</li></ul><BR>\n" );
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